Does the logo prove the page is genuine?

No. Verify the hostname and connection.

What should be bookmarked?

The verified starting route, not a temporary redirect.

CHECK 01

Check the hostname character by character and confirm HTTPS before entering an identifier.

CHECK 02

Move from the verified home page to the account route instead of trusting a copied login URL.

CHECK 03

Do not enter a password or one-time code into a form opened from an unsolicited message.

CHECK 04

Bookmark the verified starting page after a successful session rather than a temporary redirect.

Does the logo prove the page is genuine?: No. Verify the hostname and connection.
Should a one-time code be shared with support?: No.
What should be bookmarked?: The verified starting route, not a temporary redirect.